This is my new favorite @vihartvihart video. Beautiful details in the storytelling. https://www.youtube.com/watch?v=X1E7I7_r3Cw … #pythagorus #math #irrational
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Replying to @MathforLove
@MathforLove Alas, Ms. Hart is ill-informed (and frenetic.) The best current guess is that the golden ratio was the first proven irrational.2 replies 0 retweets 1 like -
Replying to @MathPrinceps
@MathforLove For the Pythagoreans, rational numbers were continued fractions, and the golden ratio has the simplest inf. continued fraction.1 reply 0 retweets 0 likes -
Replying to @MathPrinceps
@MathforLove It arises naturally as the ratio of the side to a diagonal in the regular pentagon, which had mystical significance for them.1 reply 0 retweets 0 likes -
Replying to @MathPrinceps
@MathforLove There, you can actually see phi's continued fraction: the Euclidean algorithm gives you pentagons within pentagons ad infinitum1 reply 0 retweets 0 likes -
Replying to @MathPrinceps
@MathforLove It's an even simpler argument than the classical one Ms. Hart rushes through for the irrationality of the square root of two.1 reply 0 retweets 0 likes -
Replying to @MathPrinceps
@MathforLove And why does she omit the legend that Pythagoras eschewed beans because he believed farts to be the cries of anguished beings?1 reply 0 retweets 0 likes
@MathforLove After all, she seems to touch upon virtually every other Pythagorean legend, including many that are at least as embarrassing.
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